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Finding the Fourth Proportional to 1,769.59, 2,654.39 and 537.01

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Solution

The fourth proportional to 1,769.59, 2,654.39 and 537.01 is: 805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.59 : 2,654.39 = 537.01 : x
  2. Step 2: Convert to fraction form
    1,769.59/2,654.39 = 537.01/x
  3. Step 3: Cross multiply
    1,769.59x = 2,654.39 × 537.01
  4. Step 4: Simplify right side
    1,769.59x = 1,425,431.29
  5. Step 5: Solve for x
    x = 1,425,431.29/1,769.59
  6. Step 6: Final answer
    x = 805.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.